Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity
Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity
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发表时间：
2011-11
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通讯作者：
Song Jiang;Q. Ju;Fucai Li
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作者：
Song Jiang;Q. Ju;Fucai Li
研究了具有零磁扩散率和一般初值的可压缩非等熵磁流体动力学方程组在整个空间$\mathbb{R}^d$ $（d= 2，3）$中的不可压缩极限.我们首先建立了经典解的存在性的时间间隔独立的马赫数。然后，通过推导一致的先验估计，我们得到了当马赫数趋于零时，不可压缩磁流体动力学方程解的收敛性。
We study the incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity and general initial data in the whole space $\mathbb{R}^d$ $(d=2,3)$. We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.